UNIT 1:
History of the Finite Element Analysis
History of the Finite Element Analysis
Solid mechanics stress equilibrium equation, strain-displacement equations
stress-strain Temperature Relations, Plane stress, plane strain
Rayleigh Ritz method Example problem
Weighted residual techniques
Weighted residual techniques Example problem
Weighted residual techniques Example problem
General FEA Process- FEA Solution Process.
Gaussian Elimination Method
UNIT 2:
Types of 1D element, Displacement function
Formulation of element stiffness matrix
Formulation of element stiffness matrix and load vector for spring, bar, beam, truss
Formulation of element stiffness matrix and load vector for spring, bar, beam, truss, Example problem
Formulation of element stiffness matrix and load vector for spring, bar, beam, truss, Example problem
Transformation matrix for truss and plane frame
Formulation of element stiffness matrix and load vector for spring, bar, beam, truss, Example problem
Transformation matrix for truss and plane frame
Assembly of global stiffness matrix and load vector
UNIT 3:
Types of 2D elements, Formulation of elemental stiffness matrix
Types of 2D elements, Formulation of elemental stiffness matrix and load vector
Constant Strain Triangles (CST)
Assembly of global stiffness matrix and load vector
Assembly of global stiffness matrix and load vector
Boundary conditions, solving for primary variables (displacement) - example problems, Overview of axi-symmetric elements
example problems, Overview of axi-symmetric elements
UNIT 4:
Concept of isoperimetric elements, super parametric and sub-parametric
Isoperimetric formulation of bar element
Coordinate mapping - Natural coordinates
Isoperimetric formulation of bar element
Isoperimetric formulation of bar element
Numerical integration- 2 and 3 point quadrature
Numerical integration- 2 and 3 point quadrature, full and reduced integration- example problems
UNIT 5:
Introduction to heat transfer and dynamic analysis
Governing differential equation, steady-state heat transfer formulation of 1D element for conduction
Steady-state heat transfer formulation of 1D element for convection
Boundary conditions and solving for temperature distribution- example problems.
Boundary conditions and solving for temperature distribution- example problems.
